Given numbers are 438,252,317,662,974

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 438,252,317,662,974 is 940025463804.

Find LCM of 438,252,317,662,974 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 73 x 42 x 317 x 331 x 487 = 940025463804

Therefore, the lowest common multiple of 438,252,317,662,974 is 940025463804.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

438 x 252 x 317 x 662 x 974 = 22560611131296

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

438 : 1, 2, 3, 6, 73, 146, 219, 438

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

317 : 1, 317

662 : 1, 2, 331, 662

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,252,317,662,974, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

252:2x 2x 3x 3x 7

317:317

662:2x 331

974:2x 487

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 22560611131296/(1x24)

LCM = 22560611131296/24

LCM = 940025463804

Thus, we can understand that the LCM of 438,252,317,662,974 is 940025463804.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 572, 695, 679, 502, 867
• LCM of 126, 185, 512, 316, 476
• LCM of 960, 213, 777, 228, 423
• LCM of 730, 587, 818, 915, 224
• LCM of 757, 885, 583, 694, 688

1. What is the LCM of 438, 252, 317, 662, 974?

Answer: LCM of 438, 252, 317, 662, 974 is 940025463804.

2. How to calculate the LCM of 438, 252, 317, 662, 974?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 438, 252, 317, 662, 974.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.